Question

Question 6

Answer 1

Answer:

The complete equation is: $75a+25b=25\cdot (3a+b)$.

Step-by-step explanation:

The expression is:

$75a+25b=(a+b)$

In this case we need to use numbers to make the expression on the right of the equal sign equivalent to the expression on the left.

The expression on the left of the equal sign is:

$75a+25b$

We will simplify the expression on the left of the equal sign to determine the expression on the right.

Simplify the expression $75a+25b$ as follows:

• Factorize the coefficient of a and b as follows:

        $75a+25b=(25\cdot3a)+(25\cdot b)$

• Take 25 common from both the coefficients:

        $75a+25b=25\cdot (3a+b)$

• The expression on the right side of the equal sign is:

        $25\cdot (3a+b)$

So, the numbers to be inserted in the expression (a + b) are:

Multiply variable a by 3.

Multiply the resultant expression, i.e. (3a + b) by 25.

Thus, the complete equation is: $75a+25b=25\cdot (3a+b)$.